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Home > Vol 16, No 3 (2002)

A. M. Hamel and R. C. King

A determinantal expansion due to Okada is used to derive both a deformation of Weyl's denominator formula for the Lie algebra sp(2 n) of the symplectic group and a further generalisation involving a product of the deformed denominator with a deformation of flagged characters of sp(2 n). In each case the relevant expansion is expressed in terms of certain shifted sp(2 n)-standard tableaux. It is then re-expressed, first in terms of monotone patterns and then in terms of alternating sign matrices.

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